%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO062^4.003 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:48:51 AM UTC 2026
% Result : Theorem 102.38s 14.79s
% Output : Refutation 102.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO062^4.003 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 16:28:27 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.75/0.91 % (294372)Will run a generic schedule for satisfiability detection.
% 3.75/0.91 % (294380)dis+10_1_sil=32000:sp=arity:random_seed=1484922020:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.75/0.91 % (294378)% WARNING: option uhcvi not known.
% 3.75/0.91 % (294379)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=528592672:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.75/0.91 % (294377)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=970400507_2999 on theBenchmark for (2999ds/0Mi)
% 3.75/0.91 % (294382)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1228231099:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.75/0.91 % (294378)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=723196768:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.75/0.91 % (294383)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=938075069:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.75/0.91 % (294381)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4287578424:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.75/0.91 % (294378)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.75/0.91 % (294381)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.75/0.91 % Exception at run slice level
% 3.75/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.75/0.91 % (294378)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.75/0.91 % (294380)Instruction limit reached!
% 3.75/0.91 % (294380)------------------------------
% 3.75/0.91 % (294380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.91 % (294380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.91 % (294380)CaDiCaL version: 2.1.3
% 3.75/0.91 % (294380)Termination reason: Instruction limit
% 3.75/0.91 % (294380)Termination phase: Saturation
% 3.75/0.91 % (294380)Time elapsed: 0.026 s
% 3.75/0.91 % (294380)Peak memory usage: 12 MB
% 3.75/0.91 % (294380)Instructions burned: 105 (million)
% 3.75/0.91 % (294391)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2142757736:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.75/0.91 % Exception at run slice level
% 3.75/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.75/0.91 % (294392)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1408579027:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.75/0.91 % (294394)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2295491693:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.75/0.91 % (294394)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.75/0.91 % (294394)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.75/0.91 % (294381)Instruction limit reached!
% 3.75/0.91 % (294381)------------------------------
% 3.75/0.91 % (294381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.91 % (294381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.91 % (294381)CaDiCaL version: 2.1.3
% 3.75/0.91 % (294381)Termination reason: Instruction limit
% 3.75/0.91 % (294381)Termination phase: Saturation
% 3.75/0.91 % (294381)Time elapsed: 0.055 s
% 3.75/0.91 % (294381)Peak memory usage: 12 MB
% 3.75/0.91 % (294381)Instructions burned: 117 (million)
% 3.75/0.91 % (294382)Instruction limit reached!
% 3.75/0.91 % (294382)------------------------------
% 3.75/0.91 % (294382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.91 % (294382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/0.91 % (294382)CaDiCaL version: 2.1.3
% 3.75/0.91 % (294382)Termination reason: Instruction limit
% 3.75/0.91 % (294382)Termination phase: Saturation
% 3.75/0.91 % (294382)Time elapsed: 0.061 s
% 3.75/0.91 % (294382)Peak memory usage: 12 MB
% 3.75/0.91 % (294382)Instructions burned: 132 (million)
% 3.75/0.91 % (294392)Instruction limit reached!
% 3.75/0.91 % (294392)------------------------------
% 3.75/0.91 % (294392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.75/0.91 % (294392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.89/2.70 % (294392)CaDiCaL version: 2.1.3
% 15.89/2.70 % (294392)Termination reason: Instruction limit
% 15.89/2.70 % (294392)Termination phase: Saturation
% 15.89/2.70 % (294392)Time elapsed: 0.033 s
% 15.89/2.70 % (294392)Peak memory usage: 12 MB
% 15.89/2.70 % (294392)Instructions burned: 134 (million)
% 15.89/2.70 % (294399)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=15793510:fmbsr=1.3:i=865:ins=25_2999 on theBenchmark for (2999ds/865Mi)
% 15.89/2.70 % Exception at run slice level
% 15.89/2.70 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.89/2.70 % (294397)ott-21_1_sil=16000:fs=off:random_seed=57998060:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 15.89/2.70 % (294383)Instruction limit reached!
% 15.89/2.70 % (294383)------------------------------
% 15.89/2.70 % (294383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.89/2.70 % (294383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.89/2.70 % (294383)CaDiCaL version: 2.1.3
% 15.89/2.70 % (294383)Termination reason: Instruction limit
% 15.89/2.70 % (294383)Termination phase: Saturation
% 15.89/2.70 % (294383)Time elapsed: 0.078 s
% 15.89/2.70 % (294383)Peak memory usage: 12 MB
% 15.89/2.70 % (294383)Instructions burned: 159 (million)
% 15.89/2.70 % (294398)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=268839249:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 15.89/2.70 % (294401)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1230742558:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 15.89/2.70 % (294403)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3394624912:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 15.89/2.70 % Exception at run slice level
% 15.89/2.70 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.89/2.70 % (294407)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2118515240:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 15.89/2.70 % (294407)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.89/2.70 % (294397)Instruction limit reached!
% 15.89/2.70 % (294397)------------------------------
% 15.89/2.70 % (294397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.89/2.70 % (294397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.89/2.70 % (294397)CaDiCaL version: 2.1.3
% 15.89/2.70 % (294397)Termination reason: Instruction limit
% 15.89/2.70 % (294397)Termination phase: Saturation
% 15.89/2.70 % (294397)Time elapsed: 0.082 s
% 15.89/2.70 % (294397)Peak memory usage: 12 MB
% 15.89/2.70 % (294397)Instructions burned: 182 (million)
% 15.89/2.70 % (294409)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2378621930:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 15.89/2.70 % (294409)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.89/2.70 % (294398)Instruction limit reached!
% 15.89/2.70 % (294398)------------------------------
% 15.89/2.70 % (294398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.89/2.70 % (294398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.89/2.70 % (294398)CaDiCaL version: 2.1.3
% 15.89/2.70 % (294398)Termination reason: Instruction limit
% 15.89/2.70 % (294398)Termination phase: Saturation
% 15.89/2.70 % (294398)Time elapsed: 0.230 s
% 15.89/2.70 % (294398)Peak memory usage: 13 MB
% 15.89/2.70 % (294398)Instructions burned: 478 (million)
% 15.89/2.70 % (294411)fmb+10_1_sil=64000:random_seed=3241548835:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 15.89/2.70 % (294411)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 15.89/2.70 % Exception at run slice level
% 15.89/2.70 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.89/2.70 % (294413)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3133059355:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 15.89/2.70 % Exception at run slice level
% 15.89/2.70 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.89/2.70 % (294394)Instruction limit reached!
% 15.89/2.70 % (294394)------------------------------
% 32.79/4.96 % (294394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.79/4.96 % (294394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.79/4.96 % (294394)CaDiCaL version: 2.1.3
% 32.79/4.96 % (294394)Termination reason: Instruction limit
% 32.79/4.96 % (294394)Termination phase: Saturation
% 32.79/4.96 % (294394)Time elapsed: 0.311 s
% 32.79/4.96 % (294394)Peak memory usage: 14 MB
% 32.79/4.96 % (294394)Instructions burned: 685 (million)
% 32.79/4.96 % (294401)Instruction limit reached!
% 32.79/4.96 % (294401)------------------------------
% 32.79/4.96 % (294401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.79/4.96 % (294401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.79/4.96 % (294401)CaDiCaL version: 2.1.3
% 32.79/4.96 % (294401)Termination reason: Instruction limit
% 32.79/4.96 % (294401)Termination phase: Saturation
% 32.79/4.96 % (294401)Time elapsed: 0.274 s
% 32.79/4.96 % (294401)Peak memory usage: 14 MB
% 32.79/4.96 % (294401)Instructions burned: 1182 (million)
% 32.79/4.96 % (294417)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3639678868:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 32.79/4.96 % (294417)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 32.79/4.96 % (294417)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 32.79/4.96 % (294415)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3024311077:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 32.79/4.96 % (294416)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=974854745:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 32.79/4.96 % Exception at run slice level
% 32.79/4.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 32.79/4.96 % (294416)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 32.79/4.96 % (294421)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3788055373:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 32.79/4.96 % Exception at run slice level
% 32.79/4.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 32.79/4.96 % (294423)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3691164959:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 32.79/4.96 % Exception at run slice level
% 32.79/4.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 32.79/4.96 % (294407)Instruction limit reached!
% 32.79/4.96 % (294407)------------------------------
% 32.79/4.96 % (294407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.79/4.96 % (294407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.79/4.96 % (294407)CaDiCaL version: 2.1.3
% 32.79/4.96 % (294407)Termination reason: Instruction limit
% 32.79/4.96 % (294407)Termination phase: Saturation
% 32.79/4.96 % (294407)Time elapsed: 0.300 s
% 32.79/4.96 % (294407)Peak memory usage: 15 MB
% 32.79/4.96 % (294407)Instructions burned: 693 (million)
% 32.79/4.96 % (294425)ott-2_1_sil=16000:newcnf=on:random_seed=2454239423:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2995 on theBenchmark for (2995ds/869Mi)
% 32.79/4.96 % (294425)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 32.79/4.96 % (294426)ott+10_1_sil=32000:tgt=ground:random_seed=1311117843:i=5114:av=off_2995 on theBenchmark for (2995ds/5114Mi)
% 32.79/4.96 % (294409)Instruction limit reached!
% 32.79/4.96 % (294409)------------------------------
% 32.79/4.96 % (294409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.79/4.96 % (294409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.79/4.96 % (294409)CaDiCaL version: 2.1.3
% 32.79/4.96 % (294409)Termination reason: Instruction limit
% 32.79/4.96 % (294409)Termination phase: Saturation
% 32.79/4.96 % (294409)Time elapsed: 0.411 s
% 32.79/4.96 % (294409)Peak memory usage: 15 MB
% 32.79/4.96 % (294409)Instructions burned: 881 (million)
% 32.79/4.96 % (294429)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3883419382:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 32.79/4.96 % Exception at run slice level
% 32.79/4.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 32.79/4.96 % (294431)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4038332778:i=3512:aac=none_2993 on theBenchmark for (2993ds/3512Mi)
% 94.78/13.70 % (294431)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 94.78/13.70 % (294417)Instruction limit reached!
% 94.78/13.70 % (294417)------------------------------
% 94.78/13.70 % (294417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.78/13.70 % (294417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.78/13.70 % (294417)CaDiCaL version: 2.1.3
% 94.78/13.70 % (294417)Termination reason: Instruction limit
% 94.78/13.70 % (294417)Termination phase: Saturation
% 94.78/13.70 % (294417)Time elapsed: 0.383 s
% 94.78/13.70 % (294417)Peak memory usage: 19 MB
% 94.78/13.70 % (294417)Instructions burned: 1472 (million)
% 94.78/13.70 % (294433)dis+21_1_sil=32000:sas=cadical:random_seed=3217006938:i=3773:amm=off_2992 on theBenchmark for (2992ds/3773Mi)
% 94.78/13.70 % (294425)Instruction limit reached!
% 94.78/13.70 % (294425)------------------------------
% 94.78/13.70 % (294425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.78/13.70 % (294425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.78/13.70 % (294425)CaDiCaL version: 2.1.3
% 94.78/13.70 % (294425)Termination reason: Instruction limit
% 94.78/13.70 % (294425)Termination phase: Saturation
% 94.78/13.70 % (294425)Time elapsed: 0.389 s
% 94.78/13.70 % (294425)Peak memory usage: 14 MB
% 94.78/13.70 % (294425)Instructions burned: 870 (million)
% 94.78/13.70 % (294435)ott+11_1_sil=16000:gs=on:random_seed=4201932895:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2991 on theBenchmark for (2991ds/2251Mi)
% 94.78/13.70 % (294435)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 94.78/13.70 % (294433)Instruction limit reached!
% 94.78/13.70 % (294433)------------------------------
% 94.78/13.70 % (294433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.78/13.70 % (294433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.78/13.70 % (294433)CaDiCaL version: 2.1.3
% 94.78/13.70 % (294433)Termination reason: Instruction limit
% 94.78/13.70 % (294433)Termination phase: Saturation
% 94.78/13.70 % (294433)Time elapsed: 0.826 s
% 94.78/13.70 % (294433)Peak memory usage: 18 MB
% 94.78/13.70 % (294433)Instructions burned: 3774 (million)
% 94.78/13.70 % (294438)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=390282017:fmbsr=1.6:i=67534_2983 on theBenchmark for (2983ds/67534Mi)
% 94.78/13.70 % Exception at run slice level
% 94.78/13.70 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 94.78/13.70 % (294440)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3905908761:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2983 on theBenchmark for (2983ds/4591Mi)
% 94.78/13.70 % (294435)Instruction limit reached!
% 94.78/13.70 % (294435)------------------------------
% 94.78/13.70 % (294435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.78/13.70 % (294435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.78/13.70 % (294435)CaDiCaL version: 2.1.3
% 94.78/13.70 % (294435)Termination reason: Instruction limit
% 94.78/13.70 % (294435)Termination phase: Saturation
% 94.78/13.70 % (294435)Time elapsed: 0.887 s
% 94.78/13.70 % (294435)Peak memory usage: 14 MB
% 94.78/13.70 % (294435)Instructions burned: 2253 (million)
% 94.78/13.70 % (294442)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1853768248:i=29340_2982 on theBenchmark for (2982ds/29340Mi)
% 94.78/13.70 % (294431)Instruction limit reached!
% 94.78/13.70 % (294431)------------------------------
% 94.78/13.70 % (294431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.78/13.70 % (294431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.78/13.70 % (294431)CaDiCaL version: 2.1.3
% 94.78/13.70 % (294431)Termination reason: Instruction limit
% 94.78/13.70 % (294431)Termination phase: Saturation
% 94.78/13.70 % (294431)Time elapsed: 1.443 s
% 94.78/13.70 % (294431)Peak memory usage: 17 MB
% 94.78/13.70 % (294431)Instructions burned: 3514 (million)
% 94.78/13.70 % (294444)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3716246045:i=5211_2978 on theBenchmark for (2978ds/5211Mi)
% 94.78/13.70 % (294416)Instruction limit reached!
% 94.78/13.70 % (294416)------------------------------
% 94.78/13.70 % (294416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.78/13.70 % (294416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.38/14.78 % (294416)CaDiCaL version: 2.1.3
% 102.38/14.78 % (294416)Termination reason: Instruction limit
% 102.38/14.78 % (294416)Termination phase: Saturation
% 102.38/14.78 % (294416)Time elapsed: 2.048 s
% 102.38/14.78 % (294416)Peak memory usage: 18 MB
% 102.38/14.78 % (294416)Instructions burned: 5132 (million)
% 102.38/14.78 % (294446)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1624427675:i=5497:nm=2_2975 on theBenchmark for (2975ds/5497Mi)
% 102.38/14.78 % Exception at run slice level
% 102.38/14.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 102.38/14.78 % (294448)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=2655507080:fmbsr=2:i=46332_2975 on theBenchmark for (2975ds/46332Mi)
% 102.38/14.78 % Exception at run slice level
% 102.38/14.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 102.38/14.78 % (294450)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=683129330:i=14071_2974 on theBenchmark for (2974ds/14071Mi)
% 102.38/14.78 % Exception at run slice level
% 102.38/14.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 102.38/14.78 % (294452)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1694917036:i=22565:add=on:rawr=on_2974 on theBenchmark for (2974ds/22565Mi)
% 102.38/14.78 % (294426)Instruction limit reached!
% 102.38/14.78 % (294426)------------------------------
% 102.38/14.78 % (294426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.38/14.78 % (294426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.38/14.78 % (294426)CaDiCaL version: 2.1.3
% 102.38/14.78 % (294426)Termination reason: Instruction limit
% 102.38/14.78 % (294426)Termination phase: Saturation
% 102.38/14.78 % (294426)Time elapsed: 2.113 s
% 102.38/14.78 % (294426)Peak memory usage: 16 MB
% 102.38/14.78 % (294426)Instructions burned: 5116 (million)
% 102.38/14.78 % (294454)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2643819607:i=8173:av=off_2974 on theBenchmark for (2974ds/8173Mi)
% 102.38/14.78 % (294440)Instruction limit reached!
% 102.38/14.78 % (294440)------------------------------
% 102.38/14.78 % (294440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.38/14.78 % (294440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.38/14.78 % (294440)CaDiCaL version: 2.1.3
% 102.38/14.78 % (294440)Termination reason: Instruction limit
% 102.38/14.78 % (294440)Termination phase: Saturation
% 102.38/14.78 % (294440)Time elapsed: 1.052 s
% 102.38/14.78 % (294440)Peak memory usage: 21 MB
% 102.38/14.78 % (294440)Instructions burned: 4595 (million)
% 102.38/14.78 % (294456)dis+10_16:1_sil=16000:random_seed=3221421584:i=9155:fsr=off_2972 on theBenchmark for (2972ds/9155Mi)
% 102.38/14.78 % (294444)Instruction limit reached!
% 102.38/14.78 % (294444)------------------------------
% 102.38/14.78 % (294444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.38/14.78 % (294444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.38/14.78 % (294444)CaDiCaL version: 2.1.3
% 102.38/14.78 % (294444)Termination reason: Instruction limit
% 102.38/14.78 % (294444)Termination phase: Saturation
% 102.38/14.78 % (294444)Time elapsed: 2.265 s
% 102.38/14.78 % (294444)Peak memory usage: 22 MB
% 102.38/14.78 % (294444)Instructions burned: 5211 (million)
% 102.38/14.78 % (294458)ott-3_8_sil=64000:random_seed=1030967185:i=20139:bs=on_2956 on theBenchmark for (2956ds/20139Mi)
% 102.38/14.78 % (294456)Instruction limit reached!
% 102.38/14.78 % (294456)------------------------------
% 102.38/14.78 % (294456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.38/14.78 % (294456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.38/14.78 % (294456)CaDiCaL version: 2.1.3
% 102.38/14.78 % (294456)Termination reason: Instruction limit
% 102.38/14.78 % (294456)Termination phase: Saturation
% 102.38/14.78 % (294456)Time elapsed: 1.966 s
% 102.38/14.78 % (294456)Peak memory usage: 24 MB
% 102.38/14.78 % (294456)Instructions burned: 9156 (million)
% 102.38/14.78 % (294460)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=252164036:fmbsr=2:i=32576_2952 on theBenchmark for (2952ds/32576Mi)
% 102.38/14.78 % Exception at run slice level
% 102.38/14.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 102.38/14.78 % (294462)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=853295251:i=11404_2952 on theBenchmark for (2952ds/11404Mi)
% 102.38/14.78 % (294454)Instruction limit reached!
% 102.38/14.78 % (294454)------------------------------
% 102.38/14.78 % (294454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.38/14.78 % (294454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.38/14.78 % (294454)CaDiCaL version: 2.1.3
% 102.38/14.78 % (294454)Termination reason: Instruction limit
% 102.38/14.78 % (294454)Termination phase: Saturation
% 102.38/14.78 % (294454)Time elapsed: 3.357 s
% 102.38/14.78 % (294454)Peak memory usage: 17 MB
% 102.38/14.78 % (294454)Instructions burned: 8174 (million)
% 102.38/14.78 % (294464)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=3855915488:i=14134_2940 on theBenchmark for (2940ds/14134Mi)
% 102.38/14.78 % (294464)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 102.38/14.78 % (294462)Instruction limit reached!
% 102.38/14.78 % (294462)------------------------------
% 102.38/14.78 % (294462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.38/14.78 % (294462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.38/14.78 % (294462)CaDiCaL version: 2.1.3
% 102.38/14.78 % (294462)Termination reason: Instruction limit
% 102.38/14.78 % (294462)Termination phase: Saturation
% 102.38/14.78 % (294462)Time elapsed: 2.457 s
% 102.38/14.78 % (294462)Peak memory usage: 17 MB
% 102.38/14.78 % (294462)Instructions burned: 11405 (million)
% 102.38/14.78 % (294466)dis+33_16_sil=32000:sac=on:random_seed=1738235413:i=15851:nm=0_2928 on theBenchmark for (2928ds/15851Mi)
% 102.38/14.78 % (294466)Instruction limit reached!
% 102.38/14.78 % (294466)------------------------------
% 102.38/14.78 % (294466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.38/14.78 % (294466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.38/14.78 % (294466)CaDiCaL version: 2.1.3
% 102.38/14.78 % (294466)Termination reason: Instruction limit
% 102.38/14.78 % (294466)Termination phase: Saturation
% 102.38/14.78 % (294466)Time elapsed: 3.388 s
% 102.38/14.78 % (294466)Peak memory usage: 39 MB
% 102.38/14.78 % (294466)Instructions burned: 15856 (million)
% 102.38/14.78 % (294468)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=2050266612:avsq=on:i=17627:add=on:amm=off_2894 on theBenchmark for (2894ds/17627Mi)
% 102.38/14.78 % (294464)Instruction limit reached!
% 102.38/14.78 % (294464)------------------------------
% 102.38/14.78 % (294464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.38/14.78 % (294464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.38/14.78 % (294464)CaDiCaL version: 2.1.3
% 102.38/14.78 % (294464)Termination reason: Instruction limit
% 102.38/14.78 % (294464)Termination phase: Saturation
% 102.38/14.78 % (294464)Time elapsed: 5.755 s
% 102.38/14.78 % (294464)Peak memory usage: 18 MB
% 102.38/14.78 % (294464)Instructions burned: 14135 (million)
% 102.38/14.78 % (294470)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=3783164631:s2a=on:i=53295_2882 on theBenchmark for (2882ds/53295Mi)
% 102.38/14.78 % (294458)Instruction limit reached!
% 102.38/14.78 % (294458)------------------------------
% 102.38/14.78 % (294458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.38/14.78 % (294458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.38/14.78 % (294458)CaDiCaL version: 2.1.3
% 102.38/14.78 % (294458)Termination reason: Instruction limit
% 102.38/14.78 % (294458)Termination phase: Saturation
% 102.38/14.78 % (294458)Time elapsed: 8.112 s
% 102.38/14.78 % (294458)Peak memory usage: 23 MB
% 102.38/14.78 % (294458)Instructions burned: 20140 (million)
% 102.38/14.78 % (294472)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=3805719741:i=26857:ins=20_2874 on theBenchmark for (2874ds/26857Mi)
% 102.38/14.78 % Exception at run slice level
% 102.38/14.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 102.38/14.78 % (294474)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=1977303553:i=28120:bs=on:fsr=off_2874 on theBenchmark for (2874ds/28120Mi)
% 102.38/14.78 % (294452)Instruction limit reached!
% 102.38/14.78 % (294452)------------------------------
% 102.38/14.78 % (294452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.38/14.78 % (294452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.38/14.78 % (294452)CaDiCaL version: 2.1.3
% 102.38/14.78 % (294452)Termination reason: Instruction limit
% 102.38/14.78 % (294452)Termination phase: Saturation
% 102.38/14.78 % (294452)Time elapsed: 10.917 s
% 102.38/14.78 % (294452)Peak memory usage: 65 MB
% 102.38/14.78 % (294452)Instructions burned: 22565 (million)
% 102.38/14.78 % (294478)fmb+10_1_sil=256000:fmbss=7:random_seed=497487314:fmbsr=1.6:i=182295_2865 on theBenchmark for (2865ds/182295Mi)
% 102.38/14.78 % Exception at run slice level
% 102.38/14.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 102.38/14.78 % (294488)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=3170563685:i=44625:gsp=on_2865 on theBenchmark for (2865ds/44625Mi)
% 102.38/14.78 % (294488)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 102.38/14.78 % (294488)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 102.38/14.78 % Exception at run slice level
% 102.38/14.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 102.38/14.78 % (294500)fmb+10_1_sil=256000:sas=cadical:fmbss=15:random_seed=3124270252:i=160505_2864 on theBenchmark for (2864ds/160505Mi)
% 102.38/14.78 % Exception at run slice level
% 102.38/14.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 102.38/14.78 % (294511)fmb+10_1_sil=256000:tgt=full:fmbss=10:random_seed=1708099392:fmbsr=1.3:i=225729_2864 on theBenchmark for (2864ds/225729Mi)
% 102.38/14.78 % Exception at run slice level
% 102.38/14.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 102.38/14.78 % (294520)fmb+10_1_sil=256000:tgt=full:sas=cadical:fmbss=10:random_seed=790568321:fmbsr=2:i=185024:ins=7_2864 on theBenchmark for (2864ds/185024Mi)
% 102.38/14.78 % Exception at run slice level
% 102.38/14.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 102.38/14.78 % (294530)fmb+10_1_sas=cadical:si=on:bce=on:rp=on:random_seed=834090228:rtra=on_2864 on theBenchmark for (2864ds/0Mi)
% 102.38/14.78 % Exception at run slice level
% 102.38/14.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 102.38/14.78 % (294542)% WARNING: option uhcvi not known.
% 102.38/14.78 % (294542)dis+11_61:31_drc=ordering:si=on:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1803555574:i=271062:add=off:rtra=on:rawr=on_2864 on theBenchmark for (2864ds/271062Mi)
% 102.38/14.78 % (294542)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 102.38/14.78 % (294542)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 102.38/14.78 % (294442)Instruction limit reached!
% 102.38/14.78 % (294442)------------------------------
% 102.38/14.78 % (294442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.38/14.78 % (294442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.38/14.78 % (294442)CaDiCaL version: 2.1.3
% 102.38/14.78 % (294442)Termination reason: Instruction limit
% 102.38/14.78 % (294442)Termination phase: Saturation
% 102.38/14.78 % (294442)Time elapsed: 12.422 s
% 102.38/14.78 % (294442)Peak memory usage: 27 MB
% 102.38/14.78 % (294442)Instructions burned: 29341 (million)
% 102.38/14.78 % (294747)dis+10_161_sil=256000:plsq=on:si=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2332093514:i=176048:add=on:rtra=on:rawr=on_2857 on theBenchmark for (2857ds/176048Mi)
% 102.38/14.78 % (294468) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-294372-294468"...
% 102.38/14.79 % (294468)...printing done.
% 102.38/14.79 % (294468)Refutation found. Thanks to Tanya!
% 102.38/14.79 % SZS status Theorem for theBenchmark
% 102.38/14.79 % SZS output start Proof for theBenchmark
% 102.38/14.79 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 102.38/14.79 thf(func_def_0, type, irel: ($i > $i > $o)).
% 102.38/14.79 thf(func_def_2, type, mnot: (($i > $o) > $i > $o)).
% 102.38/14.79 thf(func_def_3, type, mor: (($i > $o) > ($i > $o) > $i > $o)).
% 102.38/14.79 thf(func_def_4, type, mand: (($i > $o) > ($i > $o) > $i > $o)).
% 102.38/14.79 thf(func_def_5, type, mimplies: (($i > $o) > ($i > $o) > $i > $o)).
% 102.38/14.79 thf(func_def_6, type, mbox_s4: (($i > $o) > $i > $o)).
% 102.38/14.79 thf(func_def_7, type, iatom: (($i > $o) > $i > $o)).
% 102.38/14.79 thf(func_def_8, type, inot: (($i > $o) > $i > $o)).
% 102.38/14.79 thf(func_def_9, type, itrue: ($i > $o)).
% 102.38/14.79 thf(func_def_10, type, ifalse: ($i > $o)).
% 102.38/14.79 thf(func_def_11, type, iand: (($i > $o) > ($i > $o) > $i > $o)).
% 102.38/14.79 thf(func_def_12, type, ior: (($i > $o) > ($i > $o) > $i > $o)).
% 102.38/14.79 thf(func_def_13, type, iimplies: (($i > $o) > ($i > $o) > $i > $o)).
% 102.38/14.79 thf(func_def_14, type, iimplied: (($i > $o) > ($i > $o) > $i > $o)).
% 102.38/14.79 thf(func_def_15, type, iequiv: (($i > $o) > ($i > $o) > $i > $o)).
% 102.38/14.79 thf(func_def_16, type, ixor: (($i > $o) > ($i > $o) > $i > $o)).
% 102.38/14.79 thf(func_def_17, type, ivalid: (($i > $o) > $o)).
% 102.38/14.79 thf(func_def_18, type, isatisfiable: (($i > $o) > $o)).
% 102.38/14.79 thf(func_def_19, type, icountersatisfiable: (($i > $o) > $o)).
% 102.38/14.79 thf(func_def_20, type, iinvalid: (($i > $o) > $o)).
% 102.38/14.79 thf(func_def_21, type, a: ($i > $o)).
% 102.38/14.79 thf(func_def_22, type, b: ($i > $o)).
% 102.38/14.79 thf(func_def_25, type, vNOT: ($o > $o)).
% 102.38/14.79 thf(func_def_26, type, db1: !>[X0: $tType]:(X0)).
% 102.38/14.79 thf(func_def_27, type, db0: !>[X0: $tType]:(X0)).
% 102.38/14.79 thf(func_def_28, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 102.38/14.79 thf(func_def_29, type, vOR: ($o > $o > $o)).
% 102.38/14.79 thf(func_def_30, type, db2: !>[X0: $tType]:(X0)).
% 102.38/14.79 thf(func_def_31, type, vAND: ($o > $o > $o)).
% 102.38/14.79 thf(func_def_32, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 102.38/14.79 thf(func_def_33, type, vIMP: ($o > $o > $o)).
% 102.38/14.79 thf(func_def_34, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 102.38/14.79 thf(func_def_36, type, sK1: ($i > $i)).
% 102.38/14.79 thf(func_def_37, type, sK2: ($i > $i)).
% 102.38/14.79 thf(func_def_38, type, sK3: ($i > $i)).
% 102.38/14.79 thf(func_def_39, type, sK4: ($i > $i)).
% 102.38/14.79 thf(func_def_40, type, sK5: ($i > $i)).
% 102.38/14.79 thf(f1,axiom,(
% 102.38/14.79 ! [X0 : $i] : (irel @ X0 @ X0)),
% 102.38/14.79 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',refl_axiom)).
% 102.38/14.79 thf(f2,axiom,(
% 102.38/14.79 ! [X0 : $i,X1 : $i,X2 : $i] : (((irel @ X1 @ X2) & (irel @ X0 @ X1)) => (irel @ X0 @ X2))),
% 102.38/14.79 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',trans_axiom)).
% 102.38/14.79 thf(f3,axiom,(
% 102.38/14.79 (mnot = (^[X0 : ($i > $o), X1 : $i] : (~(X0 @ X1))))),
% 102.38/14.79 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mnot)).
% 102.38/14.79 thf(f4,axiom,(
% 102.38/14.79 (mor = (^[X0 : ($i > $o), X1 : ($i > $o), X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 102.38/14.79 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mor)).
% 102.38/14.79 thf(f5,axiom,(
% 102.38/14.79 (mand = (^[X0 : ($i > $o), X1 : ($i > $o), X2 : $i] : ((X1 @ X2) & (X0 @ X2))))),
% 102.38/14.79 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mand)).
% 102.38/14.79 thf(f7,axiom,(
% 102.38/14.79 (mbox_s4 = (^[X0 : ($i > $o), X1 : $i] : (! [X2 : $i] : ((irel @ X1 @ X2) => (X0 @ X2)))))),
% 102.38/14.79 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mbox_s4)).
% 102.38/14.79 thf(f8,axiom,(
% 102.38/14.79 (iatom = (^[X0 : ($i > $o)] : (X0)))),
% 102.38/14.79 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',iatom)).
% 102.38/14.79 thf(f9,axiom,(
% 102.38/14.79 (inot = (^[X0 : ($i > $o)] : ((mnot @ (mbox_s4 @ X0)))))),
% 102.38/14.79 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',inot)).
% 102.38/14.79 thf(f12,axiom,(
% 102.38/14.79 (iand = (^[X0 : ($i > $o), X1 : ($i > $o)] : ((mand @ X0 @ X1))))),
% 102.38/14.79 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',iand)).
% 102.38/14.79 thf(f13,axiom,(
% 102.38/14.79 (ior = (^[X0 : ($i > $o), X1 : ($i > $o)] : ((mor @ (mbox_s4 @ X0) @ (mbox_s4 @ X1)))))),
% 102.38/14.79 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',ior)).
% 102.38/14.79 thf(f18,axiom,(
% 102.38/14.79 (ivalid = (^[X0 : ($i > $o)] : (! [X1 : $i] : (X0 @ X1))))),
% 102.38/14.79 file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',ivalid)).
% 102.38/14.79 thf(f22,conjecture,(
% 102.38/14.79 (ivalid @ (inot @ (inot @ (ior @ (iand @ (iatom @ a) @ (iatom @ b)) @ (ior @ (inot @ (iatom @ a)) @ (inot @ (iatom @ b)))))))),
% 102.38/14.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 102.38/14.79 thf(f23,negated_conjecture,(
% 102.38/14.79 ~(ivalid @ (inot @ (inot @ (ior @ (iand @ (iatom @ a) @ (iatom @ b)) @ (ior @ (inot @ (iatom @ a)) @ (inot @ (iatom @ b)))))))),
% 102.38/14.79 inference(negated_conjecture,[status(cth)],[f22])).
% 102.38/14.79 thf(f24,plain,(
% 102.38/14.79 ! [X0 : $i] : (irel @ X0 @ X0)),
% 102.38/14.79 inference(rectify,[],[f1])).
% 102.38/14.79 thf(f25,plain,(
% 102.38/14.79 ! [X0 : $i] : (((irel @ X0 @ X0)) = $true)),
% 102.38/14.79 inference(fool_elimination,[],[f24])).
% 102.38/14.79 thf(f26,plain,(
% 102.38/14.79 ! [X0 : $i,X1 : $i,X2 : $i] : (((irel @ X1 @ X2) & (irel @ X0 @ X1)) => (irel @ X0 @ X2))),
% 102.38/14.79 inference(rectify,[],[f2])).
% 102.38/14.79 thf(f27,plain,(
% 102.38/14.79 ! [X0 : $i,X1 : $i,X2 : $i] : (((((irel @ X1 @ X2)) = $true) & (((irel @ X0 @ X1)) = $true)) => (((irel @ X0 @ X2)) = $true))),
% 102.38/14.79 inference(fool_elimination,[],[f26])).
% 102.38/14.79 thf(f28,plain,(
% 102.38/14.79 (mnot = (^[X0 : ($i > $o), X1 : $i] : (~(X0 @ X1))))),
% 102.38/14.79 inference(rectify,[],[f3])).
% 102.38/14.79 thf(f29,plain,(
% 102.38/14.79 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 102.38/14.79 inference(fool_elimination,[],[f28])).
% 102.38/14.79 thf(f30,plain,(
% 102.38/14.79 (mor = (^[X0 : ($i > $o), X1 : ($i > $o), X2 : $i] : ((X1 @ X2) | (X0 @ X2))))),
% 102.38/14.79 inference(rectify,[],[f4])).
% 102.38/14.79 thf(f31,plain,(
% 102.38/14.79 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 102.38/14.79 inference(fool_elimination,[],[f30])).
% 102.38/14.79 thf(f32,plain,(
% 102.38/14.79 (mand = (^[X0 : ($i > $o), X1 : ($i > $o), X2 : $i] : ((X1 @ X2) & (X0 @ X2))))),
% 102.38/14.79 inference(rectify,[],[f5])).
% 102.38/14.79 thf(f33,plain,(
% 102.38/14.79 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 102.38/14.79 inference(fool_elimination,[],[f32])).
% 102.38/14.79 thf(f35,plain,(
% 102.38/14.79 (mbox_s4 = (^[X0 : ($i > $o), X1 : $i] : (! [X2 : $i] : ((irel @ X1 @ X2) => (X0 @ X2)))))),
% 102.38/14.79 inference(rectify,[],[f7])).
% 102.38/14.79 thf(f36,plain,(
% 102.38/14.79 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 102.38/14.79 inference(fool_elimination,[],[f35])).
% 102.38/14.79 thf(f37,plain,(
% 102.38/14.79 (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 102.38/14.79 inference(fool_elimination,[],[f8])).
% 102.38/14.79 thf(f38,plain,(
% 102.38/14.79 (inot = (^[Y0 : $i > $o]: (mnot @ (mbox_s4 @ Y0))))),
% 102.38/14.79 inference(fool_elimination,[],[f9])).
% 102.38/14.79 thf(f40,plain,(
% 102.38/14.79 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ Y0 @ Y1)))))),
% 102.38/14.79 inference(fool_elimination,[],[f12])).
% 102.38/14.79 thf(f41,plain,(
% 102.38/14.79 (ior = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))),
% 102.38/14.79 inference(fool_elimination,[],[f13])).
% 102.38/14.79 thf(f46,plain,(
% 102.38/14.79 (ivalid = (^[X0 : ($i > $o)] : (! [X1 : $i] : (X0 @ X1))))),
% 102.38/14.79 inference(rectify,[],[f18])).
% 102.38/14.79 thf(f47,plain,(
% 102.38/14.79 (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 102.38/14.79 inference(fool_elimination,[],[f46])).
% 102.38/14.79 thf(f54,plain,(
% 102.38/14.79 ~(ivalid @ (inot @ (inot @ (ior @ (iand @ (iatom @ a) @ (iatom @ b)) @ (ior @ (inot @ (iatom @ a)) @ (inot @ (iatom @ b)))))))),
% 102.38/14.79 inference(rectify,[],[f23])).
% 102.38/14.79 thf(f55,plain,(
% 102.38/14.79 ~ (((ivalid @ (inot @ (inot @ (ior @ (iand @ (iatom @ a) @ (iatom @ b)) @ (ior @ (inot @ (iatom @ a)) @ (inot @ (iatom @ b)))))))) = $true)),
% 102.38/14.79 inference(fool_elimination,[],[f54])).
% 102.38/14.79 thf(f56,plain,(
% 102.38/14.79 (((ivalid @ (inot @ (inot @ (ior @ (iand @ (iatom @ a) @ (iatom @ b)) @ (ior @ (inot @ (iatom @ a)) @ (inot @ (iatom @ b)))))))) != $true)),
% 102.38/14.79 inference(flattening,[],[f55])).
% 102.38/14.79 thf(f57,plain,(
% 102.38/14.79 ! [X0 : $i,X1 : $i,X2 : $i] : ((((irel @ X0 @ X2)) = $true) | ((((irel @ X1 @ X2)) != $true) | (((irel @ X0 @ X1)) != $true)))),
% 102.38/14.79 inference(ennf_transformation,[],[f27])).
% 102.38/14.79 thf(f58,plain,(
% 102.38/14.79 ! [X0 : $i,X1 : $i,X2 : $i] : ((((irel @ X0 @ X2)) = $true) | (((irel @ X1 @ X2)) != $true) | (((irel @ X0 @ X1)) != $true))),
% 102.38/14.79 inference(flattening,[],[f57])).
% 102.38/14.79 thf(f59,plain,(
% 102.38/14.79 ( ! [X0 : $i] : ((((irel @ X0 @ X0)) = $true)) )),
% 102.38/14.79 inference(cnf_transformation,[],[f25])).
% 102.38/14.79 thf(f60,plain,(
% 102.38/14.79 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((irel @ X1 @ X2)) != $true) | (((irel @ X0 @ X2)) = $true) | (((irel @ X0 @ X1)) != $true)) )),
% 102.38/14.79 inference(cnf_transformation,[],[f58])).
% 102.38/14.79 thf(f61,plain,(
% 102.38/14.79 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 102.38/14.79 inference(cnf_transformation,[],[f29])).
% 102.38/14.79 thf(f62,plain,(
% 102.38/14.79 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 102.38/14.79 inference(cnf_transformation,[],[f31])).
% 102.38/14.79 thf(f63,plain,(
% 102.38/14.79 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 102.38/14.79 inference(cnf_transformation,[],[f33])).
% 102.38/14.79 thf(f65,plain,(
% 102.38/14.79 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 102.38/14.79 inference(cnf_transformation,[],[f36])).
% 102.38/14.79 thf(f66,plain,(
% 102.38/14.79 (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 102.38/14.79 inference(cnf_transformation,[],[f37])).
% 102.38/14.79 thf(f67,plain,(
% 102.38/14.79 (inot = (^[Y0 : $i > $o]: (mnot @ (mbox_s4 @ Y0))))),
% 102.38/14.79 inference(cnf_transformation,[],[f38])).
% 102.38/14.79 thf(f70,plain,(
% 102.38/14.79 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ Y0 @ Y1)))))),
% 102.38/14.79 inference(cnf_transformation,[],[f40])).
% 102.38/14.79 thf(f71,plain,(
% 102.38/14.79 (ior = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))),
% 102.38/14.79 inference(cnf_transformation,[],[f41])).
% 102.38/14.79 thf(f76,plain,(
% 102.38/14.79 (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 102.38/14.79 inference(cnf_transformation,[],[f47])).
% 102.38/14.79 thf(f80,plain,(
% 102.38/14.79 (((ivalid @ (inot @ (inot @ (ior @ (iand @ (iatom @ a) @ (iatom @ b)) @ (ior @ (inot @ (iatom @ a)) @ (inot @ (iatom @ b)))))))) != $true)),
% 102.38/14.79 inference(cnf_transformation,[],[f56])).
% 102.38/14.79 thf(f82,definition,(
% 102.38/14.79 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 102.38/14.79 introduced(theory,[fool_exhaustiveness_axiom])).
% 102.38/14.79 thf(f84,plain,(
% 102.38/14.79 (inot = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ Y0))))),
% 102.38/14.79 inference(definition_unfolding,[],[f67,f61,f65])).
% 102.38/14.79 thf(f86,plain,(
% 102.38/14.79 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ Y0 @ Y1)))))),
% 102.38/14.79 inference(definition_unfolding,[],[f70,f63])).
% 102.38/14.79 thf(f87,plain,(
% 102.38/14.79 (ior = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))))),
% 102.38/14.79 inference(definition_unfolding,[],[f71,f62,f65,f65])).
% 102.38/14.79 thf(f92,plain,(
% 102.38/14.79 ($true != (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ Y0))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ Y0))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: (Y0)) @ b)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ Y0))) @ ((^[Y0 : $i > $o]: (Y0)) @ a)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ Y0))) @ ((^[Y0 : $i > $o]: (Y0)) @ b)))))))))),
% 102.38/14.79 inference(definition_unfolding,[],[f80,f76,f84,f84,f87,f86,f66,f66,f87,f84,f66,f84,f66])).
% 102.38/14.79 thf(f93,plain,(
% 102.38/14.79 ($true != ((!! @ $i @ (^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((a @ Y3) & (b @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (~ (!! @ $i @ (^[Y5 : $i]: ((irel @ Y4 @ Y5) => (a @ Y5)))))))) | (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (~ (!! @ $i @ (^[Y5 : $i]: ((irel @ Y4 @ Y5) => (b @ Y5)))))))))))))))))))))))))),
% 102.38/14.79 inference(beta-eta_normalization,[],[f92])).
% 102.38/14.79 thf(f94,plain,(
% 102.38/14.79 ($false = (((^[Y0 : $i]: (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((a @ Y3) & (b @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => ((!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (~ (!! @ $i @ (^[Y5 : $i]: ((irel @ Y4 @ Y5) => (a @ Y5)))))))) | (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (~ (!! @ $i @ (^[Y5 : $i]: ((irel @ Y4 @ Y5) => (b @ Y5)))))))))))))))))))))) @ sK0)))),
% 102.38/14.79 inference(sigma_proxy_clausification,[],[f93])).
% 102.38/14.79 thf(f95,plain,(
% 102.38/14.79 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((a @ Y2) & (b @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (~ (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (a @ Y4)))))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (~ (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (b @ Y4)))))))))))))))))))))))),
% 102.38/14.79 inference(beta-eta_normalization,[],[f94])).
% 102.38/14.79 thf(f96,plain,(
% 102.38/14.79 ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK0 @ Y0) => (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((a @ Y2) & (b @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (~ (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (a @ Y4)))))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (~ (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (b @ Y4))))))))))))))))))))))),
% 102.38/14.79 inference(not_proxy_clausification,[],[f95])).
% 102.38/14.79 thf(f97,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: ((irel @ sK0 @ Y0) => (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((a @ Y2) & (b @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (~ (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (a @ Y4)))))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (~ (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (b @ Y4))))))))))))))))))) @ X1)))) )),
% 102.38/14.79 inference(pi_proxy_clausification,[],[f96])).
% 102.38/14.79 thf(f98,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($true = (((irel @ sK0 @ X1) => (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((a @ Y1) & (b @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b @ Y3))))))))))))))))))))) )),
% 102.38/14.79 inference(beta-eta_normalization,[],[f97])).
% 102.38/14.79 thf(f99,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((a @ Y1) & (b @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b @ Y3)))))))))))))))))))) )),
% 102.38/14.79 inference(imp_proxy_clausification,[],[f98])).
% 102.38/14.79 thf(f100,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((a @ Y1) & (b @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b @ Y3))))))))))))))))))) )),
% 102.38/14.79 inference(not_proxy_clausification,[],[f99])).
% 102.38/14.79 thf(f101,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = (((^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((a @ Y1) & (b @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b @ Y3))))))))))))))) @ (sK1 @ X1))))) )),
% 102.38/14.79 inference(sigma_proxy_clausification,[],[f100])).
% 102.38/14.79 thf(f102,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = (((irel @ X1 @ (sK1 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK1 @ X1) @ Y0) => ((a @ Y0) & (b @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK1 @ X1) @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b @ Y2))))))))))))))))) )),
% 102.38/14.79 inference(beta-eta_normalization,[],[f101])).
% 102.38/14.79 thf(f103,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK1 @ X1) @ Y0) => ((a @ Y0) & (b @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK1 @ X1) @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b @ Y2)))))))))))))))) )),
% 102.38/14.79 inference(imp_proxy_clausification,[],[f102])).
% 102.38/14.79 thf(f104,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($true = ((irel @ X1 @ (sK1 @ X1)))) | ($false = ((irel @ sK0 @ X1)))) )),
% 102.38/14.79 inference(imp_proxy_clausification,[],[f102])).
% 102.38/14.79 thf(f105,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK1 @ X1) @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b @ Y2))))))))))))))) )),
% 102.38/14.79 inference(or_proxy_clausification,[],[f103])).
% 102.38/14.79 thf(f106,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK1 @ X1) @ Y0) => ((a @ Y0) & (b @ Y0)))))))) )),
% 102.38/14.79 inference(or_proxy_clausification,[],[f103])).
% 102.38/14.79 thf(f107,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = (((^[Y0 : $i]: ((irel @ (sK1 @ X1) @ Y0) => ((a @ Y0) & (b @ Y0)))) @ (sK2 @ X1))))) )),
% 102.38/14.79 inference(sigma_proxy_clausification,[],[f106])).
% 102.38/14.79 thf(f108,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = (((irel @ (sK1 @ X1) @ (sK2 @ X1)) => ((a @ (sK2 @ X1)) & (b @ (sK2 @ X1))))))) )),
% 102.38/14.79 inference(beta-eta_normalization,[],[f107])).
% 102.38/14.79 thf(f109,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = (((a @ (sK2 @ X1)) & (b @ (sK2 @ X1)))))) )),
% 102.38/14.79 inference(imp_proxy_clausification,[],[f108])).
% 102.38/14.79 thf(f110,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($true = ((irel @ (sK1 @ X1) @ (sK2 @ X1)))) | ($false = ((irel @ sK0 @ X1)))) )),
% 102.38/14.79 inference(imp_proxy_clausification,[],[f108])).
% 102.38/14.79 thf(f111,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = ((b @ (sK2 @ X1)))) | ($false = ((a @ (sK2 @ X1))))) )),
% 102.38/14.79 inference(and_proxy_clausification,[],[f109])).
% 102.38/14.79 thf(f112,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = (((^[Y0 : $i]: ((irel @ (sK1 @ X1) @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b @ Y2))))))))))) @ (sK3 @ X1))))) )),
% 102.38/14.79 inference(sigma_proxy_clausification,[],[f105])).
% 102.38/14.79 thf(f113,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = (((irel @ (sK1 @ X1) @ (sK3 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a @ Y1)))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b @ Y1))))))))))))) )),
% 102.38/14.79 inference(beta-eta_normalization,[],[f112])).
% 102.38/14.79 thf(f114,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a @ Y1)))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b @ Y1)))))))))))) )),
% 102.38/14.79 inference(imp_proxy_clausification,[],[f113])).
% 102.38/14.79 thf(f115,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($true = ((irel @ (sK1 @ X1) @ (sK3 @ X1)))) | ($false = ((irel @ sK0 @ X1)))) )),
% 102.38/14.79 inference(imp_proxy_clausification,[],[f113])).
% 102.38/14.79 thf(f116,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b @ Y1))))))))))) )),
% 102.38/14.79 inference(or_proxy_clausification,[],[f114])).
% 102.38/14.79 thf(f117,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a @ Y1))))))))))) )),
% 102.38/14.79 inference(or_proxy_clausification,[],[f114])).
% 102.38/14.79 thf(f118,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = (((^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a @ Y1))))))) @ (sK4 @ X1))))) )),
% 102.38/14.79 inference(sigma_proxy_clausification,[],[f117])).
% 102.38/14.79 thf(f119,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = (((irel @ (sK3 @ X1) @ (sK4 @ X1)) => (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a @ Y0))))))))) )),
% 102.38/14.79 inference(beta-eta_normalization,[],[f118])).
% 102.38/14.79 thf(f120,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a @ Y0)))))))) )),
% 102.38/14.79 inference(imp_proxy_clausification,[],[f119])).
% 102.38/14.79 thf(f121,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($true = ((irel @ (sK3 @ X1) @ (sK4 @ X1)))) | ($false = ((irel @ sK0 @ X1)))) )),
% 102.38/14.79 inference(imp_proxy_clausification,[],[f119])).
% 102.38/14.79 thf(f122,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a @ Y0))))))) )),
% 102.38/14.79 inference(not_proxy_clausification,[],[f120])).
% 102.38/14.79 thf(f123,plain,(
% 102.38/14.79 ( ! [X2 : $i,X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($true = (((^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a @ Y0))) @ X2)))) )),
% 102.38/14.79 inference(pi_proxy_clausification,[],[f122])).
% 102.38/14.79 thf(f124,plain,(
% 102.38/14.79 ( ! [X2 : $i,X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($true = (((irel @ (sK4 @ X1) @ X2) => (a @ X2))))) )),
% 102.38/14.79 inference(beta-eta_normalization,[],[f123])).
% 102.38/14.79 thf(f125,plain,(
% 102.38/14.79 ( ! [X2 : $i,X1 : $i] : (($false = ((irel @ (sK4 @ X1) @ X2))) | ($false = ((irel @ sK0 @ X1))) | ($true = ((a @ X2)))) )),
% 102.38/14.79 inference(imp_proxy_clausification,[],[f124])).
% 102.38/14.79 thf(f126,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = (((^[Y0 : $i]: ((irel @ (sK3 @ X1) @ Y0) => (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b @ Y1))))))) @ (sK5 @ X1))))) )),
% 102.38/14.79 inference(sigma_proxy_clausification,[],[f116])).
% 102.38/14.79 thf(f127,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = (((irel @ (sK3 @ X1) @ (sK5 @ X1)) => (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b @ Y0))))))))) )),
% 102.38/14.79 inference(beta-eta_normalization,[],[f126])).
% 102.38/14.79 thf(f128,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b @ Y0)))))))) )),
% 102.38/14.79 inference(imp_proxy_clausification,[],[f127])).
% 102.38/14.79 thf(f129,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($true = ((irel @ (sK3 @ X1) @ (sK5 @ X1)))) | ($false = ((irel @ sK0 @ X1)))) )),
% 102.38/14.79 inference(imp_proxy_clausification,[],[f127])).
% 102.38/14.79 thf(f130,plain,(
% 102.38/14.79 ( ! [X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b @ Y0))))))) )),
% 102.38/14.79 inference(not_proxy_clausification,[],[f128])).
% 102.38/14.79 thf(f131,plain,(
% 102.38/14.79 ( ! [X2 : $i,X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($true = (((^[Y0 : $i]: ((irel @ (sK5 @ X1) @ Y0) => (b @ Y0))) @ X2)))) )),
% 102.38/14.79 inference(pi_proxy_clausification,[],[f130])).
% 102.38/14.79 thf(f132,plain,(
% 102.38/14.79 ( ! [X2 : $i,X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($true = (((irel @ (sK5 @ X1) @ X2) => (b @ X2))))) )),
% 102.38/14.79 inference(beta-eta_normalization,[],[f131])).
% 102.38/14.79 thf(f133,plain,(
% 102.38/14.79 ( ! [X2 : $i,X1 : $i] : (($false = ((irel @ (sK5 @ X1) @ X2))) | ($false = ((irel @ sK0 @ X1))) | ($true = ((b @ X2)))) )),
% 102.38/14.79 inference(imp_proxy_clausification,[],[f132])).
% 102.38/14.79 thf(f233,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = ((irel @ X1 @ (sK1 @ X0)))) | ($true != ((irel @ X1 @ X0))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(constrained_superposition,[],[f60,f104])).
% 102.38/14.79 thf(f235,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = ((irel @ X1 @ (sK2 @ X0)))) | ($true != ((irel @ X1 @ (sK1 @ X0)))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(constrained_superposition,[],[f60,f110])).
% 102.38/14.79 thf(f236,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = ((irel @ X1 @ (sK3 @ X0)))) | ($true != ((irel @ X1 @ (sK1 @ X0)))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(constrained_superposition,[],[f60,f115])).
% 102.38/14.79 thf(f237,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = ((irel @ X1 @ (sK4 @ X0)))) | ($true != ((irel @ X1 @ (sK3 @ X0)))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(constrained_superposition,[],[f60,f121])).
% 102.38/14.79 thf(f238,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = ((irel @ X1 @ (sK5 @ X0)))) | ($true != ((irel @ X1 @ (sK3 @ X0)))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(constrained_superposition,[],[f60,f129])).
% 102.38/14.79 thf(f248,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true != ((irel @ X1 @ (sK3 @ X0)))) | ($true = ((irel @ X1 @ (sK5 @ X0)))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f238])).
% 102.38/14.79 thf(f249,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true != ((irel @ X1 @ (sK3 @ X0)))) | ($true = ((irel @ X1 @ (sK4 @ X0)))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f237])).
% 102.38/14.79 thf(f250,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true != ((irel @ X1 @ (sK1 @ X0)))) | ($true = ((irel @ X1 @ (sK3 @ X0)))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f236])).
% 102.38/14.79 thf(f251,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true != ((irel @ X1 @ (sK1 @ X0)))) | ($true = ((irel @ X1 @ (sK2 @ X0)))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f235])).
% 102.38/14.79 thf(f252,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true != ((irel @ X1 @ X0))) | ($true = ((irel @ X1 @ (sK1 @ X0)))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f233])).
% 102.38/14.79 thf(f261,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = ((irel @ X0 @ (sK1 @ X1)))) | ($false = ((irel @ sK0 @ X1))) | (((irel @ X0 @ X1)) = $false)) )),
% 102.38/14.79 inference(constrained_superposition,[],[f252,f82])).
% 102.38/14.79 thf(f262,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true = ((irel @ X0 @ (sK1 @ X1)))) | ($false = ((irel @ sK0 @ X1))) | (((irel @ X0 @ X1)) = $false)) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f261])).
% 102.38/14.79 thf(f275,plain,(
% 102.38/14.79 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | ($true = ((irel @ X2 @ (sK1 @ X1)))) | ($true != ((irel @ X2 @ X0))) | ($false = ((irel @ sK0 @ X1))) | (((irel @ X0 @ X1)) = $false)) )),
% 102.38/14.79 inference(constrained_superposition,[],[f60,f262])).
% 102.38/14.79 thf(f289,plain,(
% 102.38/14.79 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != ((irel @ X2 @ X0))) | ($true = ((irel @ X2 @ (sK1 @ X1)))) | ($false = ((irel @ sK0 @ X1))) | (((irel @ X0 @ X1)) = $false)) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f275])).
% 102.38/14.79 thf(f303,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true != $true) | ($true = ((irel @ X0 @ (sK3 @ X0)))) | ($false = ((irel @ sK0 @ X0))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(constrained_superposition,[],[f250,f104])).
% 102.38/14.79 thf(f304,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = ((irel @ X0 @ (sK3 @ X1)))) | ($false = ((irel @ sK0 @ X1))) | ($false = ((irel @ sK0 @ X1))) | (((irel @ X0 @ X1)) = $false)) )),
% 102.38/14.79 inference(constrained_superposition,[],[f250,f262])).
% 102.38/14.79 thf(f311,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = ((irel @ X0 @ (sK3 @ X1)))) | ($false = ((irel @ sK0 @ X1))) | ($false = ((irel @ X0 @ (sK1 @ X1))))) )),
% 102.38/14.79 inference(constrained_superposition,[],[f250,f82])).
% 102.38/14.79 thf(f312,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true = ((irel @ X0 @ (sK3 @ X1)))) | ($false = ((irel @ sK0 @ X1))) | ($false = ((irel @ X0 @ (sK1 @ X1))))) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f311])).
% 102.38/14.79 thf(f314,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = ((irel @ X0 @ (sK3 @ X1)))) | ($false = ((irel @ sK0 @ X1))) | (((irel @ X0 @ X1)) = $false)) )),
% 102.38/14.79 inference(duplicate_literal_removal,[],[f304])).
% 102.38/14.79 thf(f315,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true = ((irel @ X0 @ (sK3 @ X1)))) | ($false = ((irel @ sK0 @ X1))) | (((irel @ X0 @ X1)) = $false)) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f314])).
% 102.38/14.79 thf(f316,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true != $true) | ($true = ((irel @ X0 @ (sK3 @ X0)))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(duplicate_literal_removal,[],[f303])).
% 102.38/14.79 thf(f317,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true = ((irel @ X0 @ (sK3 @ X0)))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f316])).
% 102.38/14.79 thf(f429,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true != $true) | ($true = ((irel @ X0 @ (sK2 @ X0)))) | ($false = ((irel @ sK0 @ X0))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(constrained_superposition,[],[f251,f104])).
% 102.38/14.79 thf(f442,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true != $true) | ($true = ((irel @ X0 @ (sK2 @ X0)))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(duplicate_literal_removal,[],[f429])).
% 102.38/14.79 thf(f443,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true = ((irel @ X0 @ (sK2 @ X0)))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f442])).
% 102.38/14.79 thf(f453,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true = $false) | ($false = ((irel @ sK0 @ X0))) | ($true = ((b @ (sK2 @ (sK5 @ X0))))) | ($false = ((irel @ sK0 @ (sK5 @ X0))))) )),
% 102.38/14.79 inference(constrained_superposition,[],[f133,f443])).
% 102.38/14.79 thf(f460,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($false = ((irel @ sK0 @ (sK5 @ X0)))) | ($true = ((b @ (sK2 @ (sK5 @ X0))))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f453])).
% 102.38/14.79 thf(f619,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true != $true) | ($true = ((irel @ X0 @ (sK5 @ X0)))) | ($false = ((irel @ sK0 @ X0))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(constrained_superposition,[],[f248,f317])).
% 102.38/14.79 thf(f620,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = ((irel @ X0 @ (sK5 @ X1)))) | ($false = ((irel @ sK0 @ X1))) | ($false = ((irel @ sK0 @ X1))) | ($false = ((irel @ X0 @ (sK1 @ X1))))) )),
% 102.38/14.79 inference(constrained_superposition,[],[f248,f312])).
% 102.38/14.79 thf(f621,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = ((irel @ X0 @ (sK5 @ X1)))) | ($false = ((irel @ sK0 @ X1))) | ($false = ((irel @ sK0 @ X1))) | (((irel @ X0 @ X1)) = $false)) )),
% 102.38/14.79 inference(constrained_superposition,[],[f248,f315])).
% 102.38/14.79 thf(f634,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = ((irel @ X0 @ (sK5 @ X1)))) | ($false = ((irel @ sK0 @ X1))) | (((irel @ X0 @ X1)) = $false)) )),
% 102.38/14.79 inference(duplicate_literal_removal,[],[f621])).
% 102.38/14.79 thf(f635,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true = ((irel @ X0 @ (sK5 @ X1)))) | ($false = ((irel @ sK0 @ X1))) | (((irel @ X0 @ X1)) = $false)) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f634])).
% 102.38/14.79 thf(f636,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = ((irel @ X0 @ (sK5 @ X1)))) | ($false = ((irel @ sK0 @ X1))) | ($false = ((irel @ X0 @ (sK1 @ X1))))) )),
% 102.38/14.79 inference(duplicate_literal_removal,[],[f620])).
% 102.38/14.79 thf(f637,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true = ((irel @ X0 @ (sK5 @ X1)))) | ($false = ((irel @ sK0 @ X1))) | ($false = ((irel @ X0 @ (sK1 @ X1))))) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f636])).
% 102.38/14.79 thf(f638,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true != $true) | ($true = ((irel @ X0 @ (sK5 @ X0)))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(duplicate_literal_removal,[],[f619])).
% 102.38/14.79 thf(f639,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true = ((irel @ X0 @ (sK5 @ X0)))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f638])).
% 102.38/14.79 thf(f651,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = ((irel @ X1 @ (sK5 @ X0)))) | ($true != ((irel @ X1 @ X0))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(constrained_superposition,[],[f60,f639])).
% 102.38/14.79 thf(f671,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true != ((irel @ X1 @ X0))) | ($true = ((irel @ X1 @ (sK5 @ X0)))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f651])).
% 102.38/14.79 thf(f747,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true = $false) | ($false = ((b @ (sK2 @ (sK5 @ X0))))) | ($false = ((a @ (sK2 @ (sK5 @ X0))))) | ($false = ((irel @ sK0 @ X0))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(constrained_superposition,[],[f111,f635])).
% 102.38/14.79 thf(f748,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true = $false) | ($true = ((b @ (sK2 @ (sK5 @ X0))))) | ($false = ((irel @ sK0 @ X0))) | ($false = ((irel @ sK0 @ X0))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(constrained_superposition,[],[f460,f635])).
% 102.38/14.79 thf(f755,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true = $false) | ($true = ((b @ (sK2 @ (sK5 @ X0))))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(duplicate_literal_removal,[],[f748])).
% 102.38/14.79 thf(f756,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true = ((b @ (sK2 @ (sK5 @ X0))))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f755])).
% 102.38/14.79 thf(f757,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true = $false) | ($false = ((b @ (sK2 @ (sK5 @ X0))))) | ($false = ((a @ (sK2 @ (sK5 @ X0))))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(duplicate_literal_removal,[],[f747])).
% 102.38/14.79 thf(f758,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($false = ((b @ (sK2 @ (sK5 @ X0))))) | ($false = ((a @ (sK2 @ (sK5 @ X0))))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f757])).
% 102.38/14.79 thf(f823,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true = $false) | ($false = ((irel @ sK0 @ X0))) | ($false = ((a @ (sK2 @ (sK5 @ X0))))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(constrained_superposition,[],[f756,f758])).
% 102.38/14.79 thf(f824,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true = $false) | ($false = ((irel @ sK0 @ X0))) | ($false = ((a @ (sK2 @ (sK5 @ X0)))))) )),
% 102.38/14.79 inference(duplicate_literal_removal,[],[f823])).
% 102.38/14.79 thf(f825,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($false = ((a @ (sK2 @ (sK5 @ X0))))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f824])).
% 102.38/14.79 thf(f836,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true != $true) | ($true = ((irel @ X0 @ (sK4 @ X0)))) | ($false = ((irel @ sK0 @ X0))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(constrained_superposition,[],[f249,f317])).
% 102.38/14.79 thf(f855,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true != $true) | ($true = ((irel @ X0 @ (sK4 @ X0)))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(duplicate_literal_removal,[],[f836])).
% 102.38/14.79 thf(f856,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true = ((irel @ X0 @ (sK4 @ X0)))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f855])).
% 102.38/14.79 thf(f866,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true != $true) | ($true = ((irel @ X0 @ (sK5 @ (sK4 @ X0))))) | ($false = ((irel @ sK0 @ (sK4 @ X0)))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(constrained_superposition,[],[f671,f856])).
% 102.38/14.79 thf(f897,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true = ((irel @ X0 @ (sK5 @ (sK4 @ X0))))) | ($false = ((irel @ sK0 @ (sK4 @ X0)))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f866])).
% 102.38/14.79 thf(f4540,plain,(
% 102.38/14.79 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | ($true = ((irel @ X0 @ (sK1 @ X2)))) | ($false = ((irel @ sK0 @ X2))) | (((irel @ X1 @ X2)) = $false) | (((irel @ X0 @ X1)) = $false)) )),
% 102.38/14.79 inference(constrained_superposition,[],[f289,f82])).
% 102.38/14.79 thf(f4541,plain,(
% 102.38/14.79 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = ((irel @ X0 @ (sK1 @ X2)))) | (((irel @ X1 @ X2)) = $false) | (((irel @ X0 @ X1)) = $false) | ($false = ((irel @ sK0 @ X2)))) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f4540])).
% 102.38/14.79 thf(f4797,plain,(
% 102.38/14.79 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | ($true = ((irel @ X0 @ (sK2 @ X1)))) | ($false = ((irel @ sK0 @ X1))) | ($false = ((irel @ X2 @ X1))) | (((irel @ X0 @ X2)) = $false) | ($false = ((irel @ sK0 @ X1)))) )),
% 102.38/14.79 inference(constrained_superposition,[],[f251,f4541])).
% 102.38/14.79 thf(f5185,plain,(
% 102.38/14.79 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | ($true = ((irel @ X0 @ (sK2 @ X1)))) | ($false = ((irel @ sK0 @ X1))) | ($false = ((irel @ X2 @ X1))) | (((irel @ X0 @ X2)) = $false)) )),
% 102.38/14.79 inference(duplicate_literal_removal,[],[f4797])).
% 102.38/14.79 thf(f5186,plain,(
% 102.38/14.79 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = ((irel @ X0 @ (sK2 @ X1)))) | ($false = ((irel @ X2 @ X1))) | (((irel @ X0 @ X2)) = $false) | ($false = ((irel @ sK0 @ X1)))) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f5185])).
% 102.38/14.79 thf(f6696,plain,(
% 102.38/14.79 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = $false) | ($false = ((irel @ sK0 @ X0))) | ($true = ((a @ (sK2 @ X1)))) | ($false = ((irel @ X2 @ X1))) | ($false = ((irel @ (sK4 @ X0) @ X2))) | ($false = ((irel @ sK0 @ X1)))) )),
% 102.38/14.79 inference(constrained_superposition,[],[f125,f5186])).
% 102.38/14.79 thf(f7069,plain,(
% 102.38/14.79 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = ((irel @ sK0 @ X1))) | ($false = ((irel @ (sK4 @ X0) @ X2))) | ($false = ((irel @ X2 @ X1))) | ($true = ((a @ (sK2 @ X1)))) | ($false = ((irel @ sK0 @ X0)))) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f6696])).
% 102.38/14.79 thf(f49261,definition,(
% 102.38/14.79 spl6_20 <=> ($false = ((irel @ sK0 @ (sK4 @ sK0))))),
% 102.38/14.79 introduced(definition,[new_symbols(definition,[spl6_20])],[avatar_definition])).
% 102.38/14.79 thf(f49262,plain,(
% 102.38/14.79 ($false != ((irel @ sK0 @ (sK4 @ sK0)))) | spl6_20),
% 102.38/14.79 inference(avatar_component_clause,[],[f49261])).
% 102.38/14.79 thf(f49263,plain,(
% 102.38/14.79 ($false = ((irel @ sK0 @ (sK4 @ sK0)))) | ~spl6_20),
% 102.38/14.79 inference(avatar_component_clause,[],[f49261])).
% 102.38/14.79 thf(f49775,plain,(
% 102.38/14.79 ($true = $false) | ($false = ((irel @ sK0 @ sK0))) | ~spl6_20),
% 102.38/14.79 inference(constrained_superposition,[],[f49263,f856])).
% 102.38/14.79 thf(f49818,plain,(
% 102.38/14.79 ($false = ((irel @ sK0 @ sK0))) | ~spl6_20),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f49775])).
% 102.38/14.79 thf(f49844,plain,(
% 102.38/14.79 ($true = $false) | ~spl6_20),
% 102.38/14.79 inference(forward_demodulation,[],[f49818,f59])).
% 102.38/14.79 thf(f49845,plain,(
% 102.38/14.79 $false | ~spl6_20),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f49844])).
% 102.38/14.79 thf(f49846,plain,(
% 102.38/14.79 ~spl6_20),
% 102.38/14.79 inference(avatar_contradiction_clause,[],[f49845])).
% 102.38/14.79 thf(f51506,definition,(
% 102.38/14.79 spl6_65 <=> ! [X0 : $i,X1 : $i] : (($false = ((irel @ (sK4 @ X0) @ X1))) | ($false = ((irel @ sK0 @ X0))) | ($false = ((irel @ X1 @ (sK5 @ (sK4 @ sK0))))))),
% 102.38/14.79 introduced(definition,[new_symbols(definition,[spl6_65])],[avatar_definition])).
% 102.38/14.79 thf(f51507,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($false = ((irel @ X1 @ (sK5 @ (sK4 @ sK0))))) | ($false = ((irel @ (sK4 @ X0) @ X1))) | ($false = ((irel @ sK0 @ X0)))) ) | ~spl6_65),
% 102.38/14.79 inference(avatar_component_clause,[],[f51506])).
% 102.38/14.79 thf(f51626,definition,(
% 102.38/14.79 spl6_95 <=> ! [X0 : $i,X1 : $i] : (($false = ((irel @ (sK4 @ X0) @ X1))) | ($false = ((irel @ sK0 @ X0))) | ($false = ((irel @ X1 @ (sK1 @ (sK4 @ sK0))))))),
% 102.38/14.79 introduced(definition,[new_symbols(definition,[spl6_95])],[avatar_definition])).
% 102.38/14.79 thf(f51627,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($false = ((irel @ X1 @ (sK1 @ (sK4 @ sK0))))) | ($false = ((irel @ (sK4 @ X0) @ X1))) | ($false = ((irel @ sK0 @ X0)))) ) | ~spl6_95),
% 102.38/14.79 inference(avatar_component_clause,[],[f51626])).
% 102.38/14.79 thf(f85099,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($true = $false) | ($false = ((irel @ sK0 @ (sK4 @ sK0)))) | ($false = ((irel @ (sK4 @ X0) @ (sK4 @ sK0)))) | ($false = ((irel @ sK0 @ X0)))) ) | ~spl6_95),
% 102.38/14.79 inference(constrained_superposition,[],[f104,f51627])).
% 102.38/14.79 thf(f85376,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($false = ((irel @ sK0 @ (sK4 @ sK0)))) | ($false = ((irel @ (sK4 @ X0) @ (sK4 @ sK0)))) | ($false = ((irel @ sK0 @ X0)))) ) | ~spl6_95),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f85099])).
% 102.38/14.79 thf(f85477,plain,(
% 102.38/14.79 ( ! [X0 : $i] : (($false = ((irel @ (sK4 @ X0) @ (sK4 @ sK0)))) | ($false = ((irel @ sK0 @ X0)))) ) | (spl6_20 | ~spl6_95)),
% 102.38/14.79 inference(forward_subsumption_resolution,[],[f85376,f49262])).
% 102.38/14.79 thf(f85493,plain,(
% 102.38/14.79 ($true = $false) | ($false = ((irel @ sK0 @ sK0))) | (spl6_20 | ~spl6_95)),
% 102.38/14.79 inference(constrained_superposition,[],[f85477,f59])).
% 102.38/14.79 thf(f85552,plain,(
% 102.38/14.79 ($false = ((irel @ sK0 @ sK0))) | (spl6_20 | ~spl6_95)),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f85493])).
% 102.38/14.79 thf(f85566,plain,(
% 102.38/14.79 ($true = $false) | (spl6_20 | ~spl6_95)),
% 102.38/14.79 inference(forward_demodulation,[],[f85552,f59])).
% 102.38/14.79 thf(f85567,plain,(
% 102.38/14.79 $false | (spl6_20 | ~spl6_95)),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f85566])).
% 102.38/14.79 thf(f85568,plain,(
% 102.38/14.79 spl6_20 | ~spl6_95),
% 102.38/14.79 inference(avatar_contradiction_clause,[],[f85567])).
% 102.38/14.79 thf(f86253,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true = $false) | ($false = ((irel @ sK0 @ (sK4 @ sK0)))) | ($false = ((irel @ X0 @ (sK1 @ (sK4 @ sK0))))) | ($false = ((irel @ (sK4 @ X1) @ X0))) | ($false = ((irel @ sK0 @ X1)))) ) | ~spl6_65),
% 102.38/14.79 inference(constrained_superposition,[],[f637,f51507])).
% 102.38/14.79 thf(f86530,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($false = ((irel @ sK0 @ (sK4 @ sK0)))) | ($false = ((irel @ X0 @ (sK1 @ (sK4 @ sK0))))) | ($false = ((irel @ (sK4 @ X1) @ X0))) | ($false = ((irel @ sK0 @ X1)))) ) | ~spl6_65),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f86253])).
% 102.38/14.79 thf(f86643,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($false = ((irel @ X0 @ (sK1 @ (sK4 @ sK0))))) | ($false = ((irel @ (sK4 @ X1) @ X0))) | ($false = ((irel @ sK0 @ X1)))) ) | (spl6_20 | ~spl6_65)),
% 102.38/14.79 inference(forward_subsumption_resolution,[],[f86530,f49262])).
% 102.38/14.79 thf(f86662,plain,(
% 102.38/14.79 spl6_95 | spl6_20 | ~spl6_65),
% 102.38/14.79 inference(avatar_split_clause,[],[f86643,f51506,f49261,f51626])).
% 102.38/14.79 thf(f95041,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true = $false) | ($false = ((irel @ (sK4 @ X0) @ X1))) | ($false = ((irel @ X1 @ (sK5 @ (sK4 @ sK0))))) | ($true = ((a @ (sK2 @ (sK5 @ (sK4 @ sK0)))))) | ($false = ((irel @ sK0 @ X0))) | ($false = ((irel @ sK0 @ (sK4 @ sK0)))) | ($false = ((irel @ sK0 @ sK0)))) )),
% 102.38/14.79 inference(constrained_superposition,[],[f7069,f897])).
% 102.38/14.79 thf(f96279,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($false = ((irel @ (sK4 @ X0) @ X1))) | ($false = ((irel @ X1 @ (sK5 @ (sK4 @ sK0))))) | ($true = ((a @ (sK2 @ (sK5 @ (sK4 @ sK0)))))) | ($false = ((irel @ sK0 @ X0))) | ($false = ((irel @ sK0 @ (sK4 @ sK0)))) | ($false = ((irel @ sK0 @ sK0)))) )),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f95041])).
% 102.38/14.79 thf(f96411,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($false = ((irel @ (sK4 @ X0) @ X1))) | ($false = ((irel @ X1 @ (sK5 @ (sK4 @ sK0))))) | ($true = ((a @ (sK2 @ (sK5 @ (sK4 @ sK0)))))) | ($false = ((irel @ sK0 @ X0))) | ($false = ((irel @ sK0 @ sK0)))) ) | spl6_20),
% 102.38/14.79 inference(forward_subsumption_resolution,[],[f96279,f49262])).
% 102.38/14.79 thf(f96426,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($true = $false) | ($false = ((irel @ (sK4 @ X0) @ X1))) | ($false = ((irel @ X1 @ (sK5 @ (sK4 @ sK0))))) | ($true = ((a @ (sK2 @ (sK5 @ (sK4 @ sK0)))))) | ($false = ((irel @ sK0 @ X0)))) ) | spl6_20),
% 102.38/14.79 inference(forward_demodulation,[],[f96411,f59])).
% 102.38/14.79 thf(f96427,plain,(
% 102.38/14.79 ( ! [X0 : $i,X1 : $i] : (($false = ((irel @ (sK4 @ X0) @ X1))) | ($false = ((irel @ X1 @ (sK5 @ (sK4 @ sK0))))) | ($true = ((a @ (sK2 @ (sK5 @ (sK4 @ sK0)))))) | ($false = ((irel @ sK0 @ X0)))) ) | spl6_20),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f96426])).
% 102.38/14.79 thf(f96435,definition,(
% 102.38/14.79 spl6_146 <=> ($true = ((a @ (sK2 @ (sK5 @ (sK4 @ sK0))))))),
% 102.38/14.79 introduced(definition,[new_symbols(definition,[spl6_146])],[avatar_definition])).
% 102.38/14.79 thf(f96437,plain,(
% 102.38/14.79 ($true = ((a @ (sK2 @ (sK5 @ (sK4 @ sK0)))))) | ~spl6_146),
% 102.38/14.79 inference(avatar_component_clause,[],[f96435])).
% 102.38/14.79 thf(f96454,plain,(
% 102.38/14.79 spl6_146 | spl6_65 | spl6_20),
% 102.38/14.79 inference(avatar_split_clause,[],[f96427,f49261,f51506,f96435])).
% 102.38/14.79 thf(f96458,plain,(
% 102.38/14.79 ($true = $false) | ($false = ((irel @ sK0 @ (sK4 @ sK0)))) | ~spl6_146),
% 102.38/14.79 inference(constrained_superposition,[],[f96437,f825])).
% 102.38/14.79 thf(f96461,plain,(
% 102.38/14.79 ($false = ((irel @ sK0 @ (sK4 @ sK0)))) | ~spl6_146),
% 102.38/14.79 inference(trivial_inequality_removal,[],[f96458])).
% 102.38/14.79 thf(f96464,plain,(
% 102.38/14.79 $false | (spl6_20 | ~spl6_146)),
% 102.38/14.79 inference(forward_subsumption_resolution,[],[f96461,f49262])).
% 102.38/14.79 thf(f96465,plain,(
% 102.38/14.79 spl6_20 | ~spl6_146),
% 102.38/14.79 inference(avatar_contradiction_clause,[],[f96464])).
% 102.38/14.79 cnf(s18615, plain, ~spl6_20, inference(sat_conversion,[],[f49846])).
% 102.38/14.79 cnf(s28077, plain, spl6_20 | ~spl6_95, inference(sat_conversion,[],[f85568])).
% 102.38/14.79 cnf(s28431, plain, spl6_20 | ~spl6_65 | spl6_95, inference(sat_conversion,[],[f86662])).
% 102.38/14.79 cnf(s30351, plain, spl6_20 | spl6_65 | spl6_146, inference(sat_conversion,[],[f96454])).
% 102.38/14.79 cnf(s30367, plain, spl6_20 | ~spl6_146, inference(sat_conversion,[],[f96465])).
% 102.38/14.79 cnf(s30368, plain, ~spl6_146, inference(rat,[],[s30367,s18615])).
% 102.38/14.79 cnf(s30369, plain, spl6_65, inference(rat,[],[s30351,s30368,s18615])).
% 102.38/14.79 cnf(s30370, plain, ~spl6_95, inference(rat,[],[s28077,s18615])).
% 102.38/14.79 cnf(s30376, plain, $false, inference(rat,[],[s28431,s18615,s30370,s30369])).
% 102.38/14.79 thf(f96466,plain,(
% 102.38/14.79 $false),
% 102.38/14.79 inference(avatar_sat_refutation,[],[s30376])).
% 102.38/14.79 % SZS output end Proof for theBenchmark
% 102.38/14.79 % (294468)------------------------------
% 102.38/14.79 % (294468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.38/14.79 % (294468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.38/14.79 % (294468)CaDiCaL version: 2.1.3
% 102.38/14.79 % (294468)Termination reason: Refutation
% 102.38/14.79 % (294468)Time elapsed: 3.931 s
% 102.38/14.79 % (294468)Peak memory usage: 118 MB
% 102.38/14.79 % (294468)Instructions burned: 15495 (million)
% 102.38/14.79 % (294372)Success in time 14.546 s
% 102.38/14.79 % Vampire exiting
%------------------------------------------------------------------------------